The went to court over the name/logo and Apple Computers 'won' insofar as they got to carry on using their logo. Part of that agreement was that, from that day on, Apple would stay out of the music business so as to minimise the confusion between the two brands. That obviously got a bit tricky when iTunes appeared and Apple Records took Apple Computer (or, as it is known these days Apple Inc.) back to court. I can't recall the exact details of that but I believe it was settled just before it went to court and I imagine it cost Apple Computers an Awfully Big Pile of Money.
I'm slightly dubious about the whole thing TBH - Apple Records doesn't actually make records any more; it exists entirely to manage the profits and rights existing to do with the Beatles' recordings. I know a lot of people do know that Apple Records exists but I'd imagine that in the minds of the vast majority, they know 'The Beatles' as a brand and don't associate Apple Records with much at all. The value of Apple Records as 'a brand' of itself these days to me would seem rather minimal.
With regards to the item in the link - I don't think you can copyright/trademark 'something that looks like an apple' so it wouldn't be an entirely straightforward case, especially as the company makes other novelty televisions.
Jon
